Answer:
10 quarters, 23 dimes
Step-by-step explanation:
Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:
- d + q = 33
- 0.10d + 0.25q = 4.80
Solve for d in the first equation. Subtract q from both sides.
d = 33 - q
Substitute d into the second equation.
0.10(33 - q) + 0.25q = 4.80
Distribute 0.10 inside the parentheses.
3.3 - 0.10q + 0.25q = 4.80
Combine like terms.
3.3 + 0.15q = 4.80
Subtract 3.3 from both sides.
0.15q = 1.5
Divide both sides by 0.15.
q = 10
Substitute this value of q into where we solved for d (d = 33 - q).
d = 33 - (10)
d = 23
Answer:
x=-25.5
Step-by-step explanation:
5/2(-13) +7=-25.5
(x+2)(x+1) = x^2 + x + 2x + 2
simplify it
x^2 + 3x + 2
5X-20=4X+7
5X-4x=20+7
X=27°
The answer is C. Systemic random sampling.
By definition, systemic random sampling is a sampling technique where the respondents are selected according to a <em>random starting point </em>(this alone shows that the answer is C.) The researcher then chooses the sample interval, which is the difference between two consecutive numbers in the progression.
In this case, the starting point is 8 and the sample interval is 10.
The answer is C.